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Finding the Third Proportional to 18,968 and 27,322

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Solution

The third proportional to 18,968 and 27,322 is: 39,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,968 : 27,322 = 27,322 : x
  2. Step 2: Convert to fraction form
    18,968/27,322 = 27,322/x
  3. Step 3: Cross multiply
    18,968x = 27,322 × 27,322
  4. Step 4: Simplify right side
    18,968x = 746,491,684
  5. Step 5: Solve for x
    x = 746,491,684/18,968
  6. Step 6: Final answer
    x = 39,355.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.